Cremona's table of elliptic curves

1590 = 2 · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 53+	Signs for the Atkin-Lehner involutions
Class	1590n	Isogeny class
Conductor	1590	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	4213500000 = 25 · 3 · 56 · 532	Discriminant
Eigenvalues	2- 3+ 5- -2 -4  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-650,-5833]	[a1,a2,a3,a4,a6]
Generators	[-13:31:1]	Generators of the group modulo torsion
j	30374248413601/4213500000	j-invariant
L	3.464700856703	L(r)(E,1)/r!
Ω	0.95422257753224	Real period
R	0.242060985091	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12720bg2 50880be2 4770l2 7950u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590n2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	-2	-4	0	-4	-4	0	2	-10	0	0	0	0	+	-4	-4	4	4	10	-2	-16	-6	10

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Quadratic twists for elliptic curve 1590n2

-4	8	-3	5	-7	53
12720bg2	50880be2	4770l2	7950u2	77910ce2	84270h2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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